Paragon may be absolutely correct IF you talking about offering medical, dental, eye care benefits and such. But as for participating in the company's 401(k) plan it might that the employee need only work far fewer hours per period to be eligible. In many cases that I am familiar with the number of hours is set per plan year and not per work week or pay period.
Generally, unless it is a 401(k) safeharbor plan, the company execs are extremely interested in generating as much participation in the plan as possible, especially from those that are not classified as HCE's (highly compensated employees).
The IRS plan testing requirements limit the amount of pre-tax contribution by HCE's if the ratio between them and non-HCE's is not at a certain level. That is why it is not unusual to see the participation eligibility requirements substantially less for 401(k) participantion than other benefits participation.
But again, as I initially suggested, review your plan document or SPD for the circumstances that apply in your specific situation. That way you will know for sure and us "arms-chair-quarterbacks" can ponder in other areas.